Find the measure of an angle which is 36^ more than its complemen… - Vidyadip

Question

Find the measure of an angle which is $36^\circ $ more than its complement.

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Answer

Let the measure of the required angle be $x^\circ .$
then, measure of its complement $= (90 - x)^\circ .$
Therefore, $x - (90^\circ - x) = 36^\circ $
$\Rightarrow 2x = 126^\circ $
$\Rightarrow x = 63^\circ $
Hence, the measure of the required angle is $63^\circ .$

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